Wired: Using Math to Turn Lo-Res Datasets Into Hi-Res Samples

martin s

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Interesting article: http://www.wired.com/magazine/2010/02/ff_algorithm/all/1

An example from the article:

Compressed sensing is a mathematical tool that creates hi-res data sets from lo-res samples. It can be used to resurrect old musical recordings, find enemy radio signals, and generate MRIs much more quickly. Here’s how it would work with a photograph.

ff_algorithm2_f.jpg
 
In this particular example it's not really much better than averaging over the nearest non-black neighbours. It works fine when the frequencies of your data are low (similarly to what JPEG-2000 is based on) but I wouldn't rely on it for my MRI if I knew that the structures they are trying to resolve are anywhere near the frequency of the noise. Could work fine for remote sensing etc. where bandwith is a problem.
 
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